{
  "annotation_id": "b2d89aec-a55e-4201-a6f6-6e20e63104ae",
  "date_created": "2026-02-17T05:53:20.218000Z",
  "date_modified": "2026-02-17T05:53:20.218000Z",
  "file_hash": "351bf42d627dd306d25f76495abf81696d1077c0873de7c0c3d729196abe1a38",
  "private": false,
  "record": {
    "abstract": "We give an algorithm for reducing the number of generators of the Khovanov chain complex of the torus braid $ft^k_n = (\\sigma_1\\sigma_2\\cdots \\sigma_{n-1})^k$ on $n$ strands by applying Bar-Natan Gaussian elimination along a distinguished set of Gaussian elimination isomorphisms. We call the resulting complex $\\mathcal{FT}^k_n$ a \\emph{whittled complex} for the Khovanov homology of torus braids. Using this algorithm, we provide a bound for the number of generators at a fixed homological degree in our whittled complex.",
    "arxiv_id": "2601.09079",
    "authors": [
      "Carmen Caprau",
      "Nicolle Gonzalez",
      "Christine Ruey Shan Lee",
      "Radmila Sazdanovic"
    ],
    "categories": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A whittled complex for the Khovanov homology of torus links",
    "url": "https://arxiv.org/abs/2601.09079",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7ffd4ab9-6320-455e-ac89-0304d8e43ef3",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}